Greatest Common Factor of 8165/344, 7380/798

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8165/344, 7380/798

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 8165/344,7380/798

Given fractions are 8165/344,7380/798

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 8165,7380

Greatest Common Factor of Numerators i.e. GCF of 8165,7380 is 5 .

LCM of Denominators means LCM of 344,798 as per the given fractions.

LCM of 344,798 is 137256 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8165,7380

GCF of Fractions 8165/344,7380/798 is 5/137256

5 8165, 7380
1633, 1476

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 8165,7380 By Matching Biggest Common Factor Method

Greatest Common Factor of 8165,7380 By Matching Biggest Common Factor Method

Factors of 8165

List of positive integer factors of 8165 that divides 8165 without a remainder.

1,5,23,71,115,355,1633,8165

Factors of 7380

List of positive integer factors of 7380 that divides 7380 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,41,45,60,82,90,123,164,180,205,246,369,410,492,615,738,820,1230,1476,1845,2460,3690,7380

Greatest Common Factor

We found the factors 8165,7380 . The biggest common factor number is the GCF number.
So the greatest common factor 8165,7380 is 5.

Lets's calculate LCM of 344,798

2 344, 798
172, 399

∴ So the LCM of the given numbers is 2 x 172 x 399 = 137256

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/137256

Therefore, the GCF of Fractions 8165/344,7380/798 is 5/137256

Least Common Multiple of 344,798 with GCF Formula

Least Common Multiple of 344,798 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 344,798 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(344,798) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(344,798) x common factors =2 x 1 = 2

LCM(344,798) = ( 344 × 798 ) / 2

LCM(344,798) = 274512 / 2

LCM(344,798) = 137256


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 8165/344, 7380/798

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 8165/344, 7380/798?

Answer: GCF of Numerators as per given numbers 8165/344, 7380/798 is

GCF of Numerators i.e. for 8165,7380 is 5

LCM of denominators i.e. for 344,798 is 137256.

Thus, GCF of Fractions is 5/137256.Finally, GCF of Fractions for 8165/344, 7380/798 is 5/137256.